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In this note we show how the main result of Lou et al. can be generalized to an unreliable machine with various quality levels. We consider a single machine which can process parts of different types. The machine can process at most one part at a time and it needs a setup period whenever it switches from one part-type to another. Parts enter the system in type-specific input rates and require type-specific processing times. The quality of the machine deteriorates according to a continuous-time Markov process and the only way to improve the quality is by replacing the machine by a new one. We postulate a simple form of real-time replacement and scheduling policies, and derive conditions ensuring the stability of the system under these policies. (author's abstract) ; Series: Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science"

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Suresh P. Sethi, Gerhard Sorger, Xun Yu Zhou

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en

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application/pdf

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http://epub.wu.ac.at/988/1/document.pdf

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